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A gas contained in a cylinder fitted wit...

A gas contained in a cylinder fitted with a frictionless piston expands against a constant pressure 1 atmosphere from a volume of 4 litre to a volume of 14 litre. In doing so, it absorbs 800 J thermal energy from surroundings. Determine `DeltaU` for the process.

Text Solution

Verified by Experts

Given q=800J
`DeltaV=(14-4)=10`litre
`w=-PxxDeltaV=-1xx10=-10`litre-atm
but 0.082 litre-atom=1.987 cal
so, `w=-(10xx1.987)/(0.082)=-242.4cal`
But 1 calorie`=4.184J`
so, `w=-242.3xx4.184=-1013.7J` ltbr. Substituting the values in equations,
`DeltaU=q+w=(800-1013.7)=-213.7J`
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